PDF approach and stochastic models of the turbulent mixing of inert and reactive statistically homogeneous scalar fields
作者:
César Dopazo,
Lies Valiño,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1994)
卷期:
Volume 23,
issue 1-3
页码: 339-361
ISSN:0041-1450
年代: 1994
DOI:10.1080/00411459408203869
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The turbulent mixing of both inert and reactive scalar fields is investigated. Single-point moment formulations outline the closure problems related to the molecular diffusion and the chemical source terms. The external supply of a characteristic decay time is avoided by including the scalar-gradient in the formulation, but then the straining/rotation, scalar dissipation and scalar-gradient dissipation must be approximated. The scalar probability density function (PDF) approach treats exactly the reaction rate term but modelling of the diffusive transport is required. The joint PDF equation of one scalar and its gradient must also model the straining/rotation term. Inert and reactive scalars are simulated using existing approximations in the form of deterministic or stochastic models. A new closure is tested with the characteristic scalar-decay time expressed as a function of the scalar-gradient. The equations are numerically solved with a Monte Carlo technique and predictions are compared with available direct numerical simulation (DNS) results.
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